interpolating function 中文意思是什麼

interpolating function 解釋
插值函數
  • interpolating : 內插
  • function : n 1 功能，官能，機能，作用。2 〈常 pl 〉職務，職責。3 慶祝儀式；（盛大的）集會，宴會。4 【數學】...
  1. Interpolating surface based on rational blending function

    一類基於有理混合函數的插值曲面
  2. Secondly, a new adaptive osculatory rational interpolation kernel function is constructed from the point of approximating the ideal interpolating function, the function ' s characteristics, i. e., the space properties, the spectral properties, and the efficiency are analyzed, and the comparision it with other interpolation methods is made

    然後，在圖像采樣和圖像重建理論的基礎上，基於逼近理想插值核函數的思想，構造了一種自適應切觸有理插值函數，對其空域和頻域的性能進行了分析，並與傳統的圖像插值核函數進行了比較。
  3. For the variables with greater gradient, a high - precision interpolating function, such as quasi - consistence hexahedral element method, is naturally necessary to be adopt

    開邊界給定方式宜採用速度dirichlet條件和流動壓力neumann條件，以利用壓力無反射條件，加快計算收斂速度。
  4. The verification of the algorithm is performed using a gauss - distributed concentration ball and a stock wave at steady flow in an open channel. the comparison with an analytical problem solution shows that the precision and the stability of quasi - consistence hexahedral element method is as good as that of consistence hexahedral element method, better than that of the linear interpolating function method

    6 、比較分析了網格布置形式對圓管流動和臺階突擴流動計算結果的影響后表明，應在物理量梯度變化較大的區域適當加密網格，才能較好地模擬這些區域的流動特性以及壁面對整個流動的影響。
  5. The solution algorithm involves tracing the characteristic lines backwards in time from a upwind element of an interior point. two advanced mehtods, quasi - consistence and consistence hexahedral element method, for three - dimensional advective problem are developed. and comparison of these two methods with linear interpolating function method is implemented

    當re 400時，流動明顯地具有二維性； re 800時，流動具有一定程度的三維性，而且出現了次迴流區； re 1000時，流動則具有明顯的三維性。
  6. So we present a new method of subdivision surface modeling. this method not only maintains the intrinsic property of catmull - clark subdivision surface, but also makes this kind of surface have a new function of interpolating multi - predefined b - spline curves. it overcomes some limitation of catmull - clark subdivision scheme and widens its application range, which brings subdivision surfaces from animation design and artistic modeling to mechanical products design

    因此，作者給出了一類新的細分曲面造型方法，該方法保持了catmull - clark細分曲面的原功能，但增加了插值若干條已知b樣條曲線的新功能，克服了catmull - clark細分方法的局限，拓寬了catmull - clark細分方法的應用范圍，為細分曲面從動畫製作和藝術造型走向機械產品設計的應用闖出了新路。
  7. We get the estimates of the upper bounds of hausdorff and fractal dimensions for the global attractors. in section 5. 3, the cauchy problem is studied, by using the weighted function space and the interpolating inequality, the existence of the global attractors for the damped generalized coupled nonlinear wave equations in an unbounded domain is proved. in section 5. 4, the time periodic solution problem of damped generalized coupled nonlinear wave equations with periodic boundary conditions is studied, the existence of time periodic soluation of this problem is proved by using the convergence of approximate time periodic solution sequences

    第五章，考慮了一類廣義耦合的非線性波動方程組，在第二節中討論了周期初值問題，證明了整體光滑解的存在性和唯一性，得到了整體吸引子，給出了hausdorff維數和分形維數的上界估計；在第三節中討論了cauchy問題，利用加權函數和加權空間的插值不等式，證明了無界區域上整體吸引子的存在性；在第四節中證明了時間周期解的存在性。
  8. To improve computing precision, the latter applies interpolating function of curved - quadrilateral element containing six npdes to thicking the influence surface of grillage. compared with lagrangian interpolation for rectangular element and triangle plane interpolation, this way not only improves computing precision but be more suitable for the curved - bar grillage analyzing method introduced this paper

    為了提高計算精度，本文應用六結點曲邊四邊形單元插值函數加密梁格影響面，與矩形單元拉格朗日插值及三角平面插值方法相比，不但提高了計算精度，且更適于曲桿梁格分析。
  9. For h - d data distributing over regular - grid points, a new concept " cubical matrix " " is presented, some operating rules on it are established, and a definition and expressions of tri - cubic spline function are introduced about which its unique existence theorems are proved, interpolating error is estimated, and practical algorithms to produce two kinds of boundary conditions and methods for its computation are presented

    完成的主要研究內容和成果如下：一、對規則區域上分佈的h - d數據，首次提出了立體矩陣的概念，建立了其運算規則，給出了三三次曲面的定義及表達式，證明了其存在唯一性。
  10. For h - d scattered data, local weighted least - squares fitting ( llsf ) methods for approximation and interpolation are respectively put forward and the latter is got by adjusting weight function in the former case, and the interpolating method is also used to construct hyper - surface models with the radial function. the problem of choosing weight function during local least square approximation is discussed and two good weight functions are given : one with a parameter, the other with no parameter. based on them

    二、對非規則區域上分佈的h - d數據，提出了散亂數據超曲面擬合的局部最小二乘逼近法。通過對局部最小二乘逼近的權因子作適當的改進，得到了擬合精度較高的局部最小二乘插值法，還用徑向基函數構造了超曲面模型，找到了一種性質好帶參數的權函數以及另一種有著普遍精度性質的不含參數的權函數，獲得了較好的逼近效果。
  11. They have a number of desirable properties not possessed by wavelets of daubechies type, namely : they have symmetry property ; the scaling function and physical space representation are identical ; expansion coefficients are easily computed ; in certain respects they are more accurate ; the functions ( but not their derivatives ) can be computed without solving an eigenproblem. the price to be paid for these advantages is the loss of orthogonality, interpolating wavelets are only biorthogonal

    本文主要的研究成果是把一維的某些結論推廣到高維，分為以下四個方面： （ 1 ）使用二元拉格朗日插值法構造二元尺度函數和小波函數，使其具有緊支性、對稱性以及函數展開式的系數易於計算等優點。唯一的缺陷是缺乏正交性。
  12. Two - stage - fitting ( tsf ) method is obtained, which consists of evaluating the function values of regular - grid points by using local weighted least square methods or radial function interpolation, and smoothly and quickly interpolating those points by using multivariate splines. the result is a hyper - surface of c1 or c : continuity

    基於上述結果，提出了h - d空間散亂數據超曲面構造二步法，第一步應用局部最小二乘法或局部徑向基函數擬合法插補立方體網格點上的函數值，第二步應用多元樣條光滑快速插值計算，使所得超曲面具有c ~ 1或c ~ 2連續。
  13. Important missing aspects are : turbulent flow, numerical discretization techniques specially the relevant and difficult topic of numerical treatment of advection and related numerical methods of solution, variable property fluids, boundary layers, stability, etc. rather, it focuses on more primitive and fundamental issues of numerical treatment of advective equation and proper formulation of initial boundary value ( ib vp ). numerical problems associated with advective dominated transport include spurious oscillation, numerical dispersion, peak clipping, and grid oriention. however, the key of numerical solution of three - dimensional advective problem is searching for a high - precision interpolating function, which can keep the computational stability and low damping

    3 、針對三維純對流方程提出了實用的擬協調單元模式，並與線性插值模式和協調單元模式比較后表明，在物理量大梯度變化的情況下，線性插值模式會產生較大的數值阻尼，導致解的失真；協調單元模式具有極高的計算精度和良好的計算穩定性，還可較好地克服數值阻尼，但由於計及物理量的二階導數項，計算工作量大，邊界條件給定尚存在一定的困難；而擬協調單元模式不僅具有協調單元模式計算精度高的優點，還避免了物理量的二階導數項，可大大地減少計算工作量。
  14. The characteristic of cubic - hermite interpolating function indicates that it can approach to the highway horizontal alignment curve with a high degree, and simple in calculation

    埃爾米特插值函數的特點決定其能很好地逼近被插值函數，且計算過程簡便。
  15. This article establishes a highway horizontal alignment design method bused on cubic - hermite interpolating function, which has a practical reference for future work

    本研究建立了公路平面線形設計的埃爾米特插值函數方法，可供公路平面線形設計工作參考。
  16. To obtain the fast matrix - vector multiplication algorithm, we approximate the kernel function with piece - wise polynomial and get the approximate coefficient matrix a using the approximate kernel function. let n be the number of quadrature points and k2 be the number of interpolating knots at each subdomain. it is proved that the construction of a and the matrix - vector multiplication ax require o ( nk ) operations respectively

    我們利用對核函數進行分片多項式插值逼近得到適用於快速方法的近似系數矩陣a ：矩陣a的計算和矩陣-向量相乘ax各需要o （ nk ）次運算，存貯a需要佔用o （ nk ）內存，其中n為積分節點的個數， k ~ 2為每個小區域的插值節點數。
  17. In this paper, we construct a multi - resolution analysis of h2 ( i ) space using spline function and give the multi - level decomposition of a function through interpolating spline wavelet transform

    本文中我們給出了由樣條函數構造的h ~ 2 （ i ）空間上的多分辨分析並利用樣條小波插值變換對函數進行多尺度分解。
  18. In this paper, we use the symmetric interpolating scaling function as the basis for the resolution space. the specialty of wavelet interpolation galerkin method ( wigm ) is : the wavelet coefficients are the values of function at the equinoxes because of the character of interpolation of the basis function

    小波插值galerkin法（簡稱wigm ）的特點在於：基函數的插值特性，使得用尺度函數線性表示被求函數時，其中的小波系數即為函數在二分點上的離散值。
  19. And we give method how to solve the problem when there are more than one kind of medium or the boundary is abnormity. because using symmetric interpolating seal function as the kisis con ' pmied by its rele ^ a ' it average - interpolating scaling function, the error can be less than computed by traditional method

    由於選取對稱尺度函數作為基函數，它的一次導數可利用與其對應的平均插值尺度函數來計算，這樣可有效地降低用傳統方法計算帶來的誤差。
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